510861312 has 252 divisors, whose sum is σ = 1636956594. Its totient is φ = 153354240.

The previous prime is 510861289. The next prime is 510861313. The reversal of 510861312 is 213168015.

It can be written as a sum of positive squares in 3 ways, for example, as 119771136 + 391090176 = 10944^2 + 19776^2 .

It is a super-2 number, since 2×510861312² = 521958560196722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (510861313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12460012 + ... + 12460052.

Almost surely, 2^510861312 is an apocalyptic number.

510861312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818478297).

510861312 is an abundant number, since it is smaller than the sum of its proper divisors (1126095282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

510861312 is a wasteful number, since it uses less digits than its factorization.

510861312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 510861312 is about 22602.2413047910. The cubic root of 510861312 is about 799.4064931292.

The spelling of 510861312 in words is "five hundred ten million, eight hundred sixty-one thousand, three hundred twelve".